Simulation functions

Simulation results

Details of the simulation analyses and evaluation metrics are given in Section 4 of the paper. This section presents results for all simulations for parametric and robust test statistics evaluating the marginal and global CDFs.

Fake group variable

Group was simulated independently of the imaging data and the bootstrap samples of the imaging data were modeled and tested on 3 degrees of freedom. Type 1 error rates and KL-divergence are given below.

Marginal distribution

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the robust test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the robust test statistics image.

Global distributions

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.

Age continuous covariate fit with splines

The imaging data were residualized to age and other covariates using equation (13) in the main paper, then bootstrap samples of the residuals were modeled with age using splines on 4 degrees of freedom. the test was for the nonlinear effect of age over the linear age effect on 3 degrees of freedom.

Marginal distribution

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the robust test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the marginal distribution of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the marginal distribution of each topological feature (TF) of the robust test statistics image.

Global distributions

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.

Actual versus target type 1 error rates for the three inference procedures considered for testing the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the parametric test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.

KL-divergence for the three inference procedures considered for the distribution of the global maximum of each topological feature (TF) of the robust test statistics image.